2825599256640 has 1344 divisors, whose sum is σ = 10702588216320. Its totient is φ = 708753162240.

The previous prime is 2825599256603. The next prime is 2825599256657. The reversal of 2825599256640 is 466529955282.

2825599256640 is a `hidden beast` number, since 2 + 8 + 25 + 5 + 9 + 9 + 2 + 566 + 40 = 666.

It is a super-2 number, since 2×2825599256640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16332943594 + ... + 16332943766.

It is an arithmetic number, because the mean of its divisors is an integer number (7963235280).

Almost surely, 2^{2825599256640} is an apocalyptic number.

2825599256640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825599256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351294108160).

2825599256640 is an abundant number, since it is smaller than the sum of its proper divisors (7876988959680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2825599256640 is a wasteful number, since it uses less digits than its factorization.

2825599256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 2825599256640 in words is "two trillion, eight hundred twenty-five billion, five hundred ninety-nine million, two hundred fifty-six thousand, six hundred forty".